202120100 has 216 divisors, whose sum is σ = 581837760. Its totient is φ = 60238080.

The previous prime is 202120099. The next prime is 202120103. The reversal of 202120100 is 1021202.

It is not an unprimeable number, because it can be changed into a prime (202120103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1210217 + ... + 1210383.

Almost surely, 2^202120100 is an apocalyptic number.

202120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290918880).

202120100 is an abundant number, since it is smaller than the sum of its proper divisors (379717660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202120100 is a wasteful number, since it uses less digits than its factorization.

202120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 202120100 is about 14216.8948789811. The cubic root of 202120100 is about 586.8626920410.

Adding to 202120100 its reverse (1021202), we get a palindrome (203141302).

The spelling of 202120100 in words is "two hundred two million, one hundred twenty thousand, one hundred".